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Finding the Third Proportional to 55,908 and 84,589

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Solution

The third proportional to 55,908 and 84,589 is: 127,983.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,908 : 84,589 = 84,589 : x
  2. Step 2: Convert to fraction form
    55,908/84,589 = 84,589/x
  3. Step 3: Cross multiply
    55,908x = 84,589 × 84,589
  4. Step 4: Simplify right side
    55,908x = 7,155,298,921
  5. Step 5: Solve for x
    x = 7,155,298,921/55,908
  6. Step 6: Final answer
    x = 127,983.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.